Details

Time bar (total: 6.2s)

sample19.0ms

Algorithm
intervals
Results
6.0ms66×body1280valid
3.0ms128×body80valid
2.0ms32×body640valid
1.0ms18×body320valid
0.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt x)
26.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series415.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
180.0ms
(cbrt x)
146.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04301315
113941045
25001981

prune236.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.8b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))
7.3b
(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
65×*-un-lft-identity
51×add-sqr-sqrt
42×prod-diff
35×add-cube-cbrt
10×log-prod distribute-lft-out
8×difference-of-squares
7×fma-neg
6×distribute-lft-out-- add-log-exp
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×log-div cbrt-div flip3-- pow1/3 flip--
1×sub-neg flip3-+ diff-log rem-log-exp log-pow flip-+
Counts
4 → 122
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
26.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
20.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

series786.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x 1.0))
173.0ms
(cbrt x)
333.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
193.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify75.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06191676
121751385
250021322

prune363.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt x) 3)
2.7b
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
3.4b
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
7.3b
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
360×prod-diff
358×cbrt-prod
342×*-un-lft-identity
331×unpow-prod-down cube-prod
326×add-sqr-sqrt
206×add-cube-cbrt
72×difference-of-squares
64×sqr-pow
56×log-prod
46×distribute-lft-out
40×cube-mult unpow3
26×distribute-lft-out--
24×cbrt-div
21×flip3-+ flip-+
20×log-div fma-neg
16×frac-add
8×frac-times
7×pow1 add-exp-log
6×add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u
3×pow-unpow
2×difference-cubes flip3-- pow-pow rem-log-exp log-pow flip--
1×pow-to-exp sub-neg pow1/3 diff-log pow-exp rem-cube-cbrt
Counts
4 → 574
Calls
4 calls:
2.0ms
(pow (cbrt x) 3)
82.0ms
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
62.0ms
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
22.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

series789.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(pow (cbrt x) 3)
63.0ms
(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
181.0ms
(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
330.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify118.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016809752
150014965

prune628.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
7.3b
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
42×flip3-+ flip-+
39×exp-sum
36×log-div
32×frac-add
21×*-un-lft-identity
19×add-sqr-sqrt
18×associate--r-
17×pow1 add-cube-cbrt
16×frac-times prod-diff
13×log-pow
8×exp-prod associate-*r/ associate-*l/
6×cbrt-prod log-prod
5×add-exp-log add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
3×associate--l+
2×pow1/3 rem-exp-log
1×sub-neg exp-diff diff-log rem-log-exp difference-of-squares
Counts
4 → 117
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
17.0ms
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
19.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
180.0ms
(cbrt x)
502.0ms
(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
333.0ms
(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015575860
150015088

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

sample505.0ms

Algorithm
intervals
Results
183.0ms1775×body1280valid
92.0ms1219×body640valid
86.0ms4066×body80valid
34.0ms614×body320valid
12.0ms326×body160valid